Displaying similar documents to “On the pullback equation φ * g = f

On Hölder regularity for vector-valued minimizers of quasilinear functionals

Josef Daněček, Eugen Viszus (2010)

Mathematica Bohemica

Similarity:

We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type 𝒜 ( u ; Ω ) = Ω A i j α β ( x , u ) D α u i D β u j d x whose gradients belong to the Morrey space L 2 , n - 2 ( Ω , n N ) .

Regularity and uniqueness in quasilinear parabolic systems

Pavel Krejčí, Lucia Panizzi (2011)

Applications of Mathematics

Similarity:

Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.